Pressure beneath a Stokes wave

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Some Nonlinear, Equatorially Trapped, Nonhydrostatic Internal Geophysical Waves (2014, background): “…periodic gravity water wave, where the particle paths are open loops in the absence of a current, and closed particle paths can only occur at a certain depth and only if there is a sufficiently strong adverse uniform current (see Constantin 2006; Henry 2008; Constantin and Strauss 2010).”
Global bifurcation of steady gravity water waves with critical layers (2014, background): “The analysis pursued for instance in [9, 16] shows that no such patterns can occur in the flow beneath an irrotational periodic steady water wave.”
Some Three-Dimensional Nonlinear Equatorial Flows (2013, background): “On the other hand, the discussions in Fedorov and Melville (2000) and Greatbatch (1985) provide ample evidence that nonlinear effects are important in the modeling of equatorial waves.”
Steady Periodic Water Waves with Constant Vorticity: Regularity and Local Bifurcation (2009, background): “Such properties made it possible to describe the particle motion beneath irrotational waves [8, 14] and the exploration of this aspect for flows with constant vorticity is now plausible.”